Multiply the polynomials (3x−1)(2x+4) .(2 points)

To multiply the polynomials \((3x - 1)(2x + 4)\), we can use the distributive property (also known as the FOIL method for binomials):

1. **First**: Multiply the first terms:
\[
3x \cdot 2x = 6x^2
\]

2. **Outer**: Multiply the outer terms:
\[
3x \cdot 4 = 12x
\]

3. **Inner**: Multiply the inner terms:
\[
-1 \cdot 2x = -2x
\]

4. **Last**: Multiply the last terms:
\[
-1 \cdot 4 = -4
\]

Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]

Combine the like terms (\(12x\) and \(-2x\)):
\[
6x^2 + (12x - 2x) - 4 = 6x^2 + 10x - 4
\]

So the final answer should be:
\[
6x^2 + 10x - 4
\]

Thus, the polynomial can be expressed as:
\[
(6)x^2 + (10)x + (-4)
\]

So, the coefficients are \(6\), \(10\), and \(-4\).